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Finding the Fourth Proportional to 522.80, 784.20 and 138.06

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Solution

The fourth proportional to 522.80, 784.20 and 138.06 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.80 : 784.20 = 138.06 : x
  2. Step 2: Convert to fraction form
    522.80/784.20 = 138.06/x
  3. Step 3: Cross multiply
    522.80x = 784.20 × 138.06
  4. Step 4: Simplify right side
    522.80x = 108,266.65
  5. Step 5: Solve for x
    x = 108,266.65/522.80
  6. Step 6: Final answer
    x = 207.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.